Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I have homework and I don't understand the request.

this is the task: (I'm translating from Hebrew, so I'm sorry for unclear details, if there are):

Solve the following linear equations , and write down the solution of the appropriate homogeneous equation.

enter image description here

What does he mean, "to write down the solution of the appropriate homogeneous equation"?

What is the appropriate homogeneous equation?

share|cite|improve this question
up vote 1 down vote accepted

In this case your system is of the form $A\bar{x}=\bar{b}$, where the matrix $A$ is \begin{bmatrix} 1 & 1 & 1\\ 0 & 1 & 1 \\ 1 & 1 & 0 \end{bmatrix} and $\bar{x}=(x_{1},x_{2},x_{3})$, $\bar{b}=(1,1,1)$. The appropriate homogeneous equation is simply $A\bar{x}=\bar{0}$, where $\bar{0}=(0,0,0)$. So in practise, you just replace the constants on the right hand sides of your linear system to equal zeros in order to obtain the homogeneous equation.

share|cite|improve this answer
I'd better ask before submit. thank you very much. – Billie Jan 1 '13 at 12:43

I think he wanted to solve the system which has $0$ instead of $1$ on LHS. Therefore, it is clear that $x_1=x_2=x_3=0$ is its trivial solution

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.